Notes 1.1.notebook
August 31, 2015
Warm­up (write these in your notes spiral)
1. Discuss with your partner the 3 undefined terms.
2. Discuss the difference between coplanar and collinear.
3. Fill in the following with coplanar or collinear (or put both):
a. Any two points are ______________________________.
b. Any three points are _____________________________.
4. Given 3 noncollinear points, how many planes are defined?
5. Given 3 collinear points, how many planes are defined?
6. What is defined by any 2 points?
Aug 20­4:49 PM
Aug 20­4:41 PM
1
Notes 1.1.notebook
August 31, 2015
Aug 20­4:50 PM
Aug 20­4:51 PM
2
Notes 1.1.notebook
August 31, 2015
Example 1
A. Use the figure to name a line containing point K.
B. Use the figure to name a plane containing point L.
Aug 20­4:54 PM
Example 2 ­ Point, line, or plane??
A. Name the geometric shape modeled by a 10 × 12 patio.
plane
B. Name the geometric shape modeled by the intersection of the floor and wall in your bedroom.
line
C. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city.
point
D. Name the geometric shape modeled by the ceiling of your classroom. plane
Aug 20­4:57 PM
3
Notes 1.1.notebook
August 31, 2015
Example 3
Aug 20­5:00 PM
Example 4
A. Name three points that are collinear.
B. Are points A, B, C, and D coplanar? Explain.
Answer: coplanar.
Points A, B, C, and D all lie in plane ABC, so they are Aug 20­5:05 PM
4
Notes 1.1.notebook
August 31, 2015
Example 5
Always (A), Sometimes (S), or Never (N)?
____ A. Collinear points are coplanar. ____ B. Coplanar points are collinear. Aug 20­5:15 PM
Example 6
Two or more geometric figures intersect if they have one or more points in common. A. The relationship between two lines can be:
B. The relationship between two planes can be:
C. The relationship between a line and a plane can be:
Aug 20­5:17 PM
5
Notes 1.1.notebook
Example 7
August 31, 2015
Coplanar
1. Points A, D, and B are ______________ points.
collinear and coplanar
2. Points A, G, and H are ___________ points.
line ( )
3. The intersection of planes E and K is __________.
point D
4. The intersection of plane K and line CD is _________.
plane E
5. The plane determined by points G, H, and J is _______.
E
6. Line GJ lies on plane ______.
E
7. Line JH lies on plane ______.
C
8. Point _____ lies in neither plane E or K.
9. Do plane E and line CD intersect?
Cannot be determined.
10. Do line CD and line AB intersect?
No
Aug 19­2:26 PM
Example 8
1. Name the intersection of line AB and line BH.
Point B
2. Name the intersection of plane ADE and plane BHG.
Line AG
3. Name three planes that intersect at point H.
plane BCH, HFE, HBA
4. Name three lines that intersect at point F Line EF, Line HF, Line CF
5. Both points A and G lie on what two planes?
planes ADE and AGH
6. What plane contains point C but not point D? Plane CFH
7. Do plane ADC and line CB intersect?
Yes
Aug 19­2:26 PM
6